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Finding the Fourth Proportional to 105,627.70, 158,457.48 and 45,672.58

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Solution

The fourth proportional to 105,627.70, 158,457.48 and 45,672.58 is: 68,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,627.70 : 158,457.48 = 45,672.58 : x
  2. Step 2: Convert to fraction form
    105,627.70/158,457.48 = 45,672.58/x
  3. Step 3: Cross multiply
    105,627.70x = 158,457.48 × 45,672.58
  4. Step 4: Simplify right side
    105,627.70x = 7,237,161,931.90
  5. Step 5: Solve for x
    x = 7,237,161,931.90/105,627.70
  6. Step 6: Final answer
    x = 68,515.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.